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摘要翻译：
这些课堂讲稿涵盖四个主题。证明了同伦范畴上的同伦空间所表示的函子与同伦范畴内的同伦范畴所定义的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内的同伦范畴内给出了有限平坦群格式（在noetherian基上）的等变motivic同伦范畴的描述，并给出了a^1-等价的一个新的刻划。有一部分我们介绍了一类称为实心滑轮的滑轮。最后，我们研究了x->X/g和x->X^w形式的函子，证明了它们在有项的单实单纯束之间保持等价性。
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英文标题：
《Lectures on motivic cohomology 2000/2001 (written by Pierre Deligne)》
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作者：
Vladimir Voevodsky
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
These lecture notes cover four topics. There is a proof of the fact that the functors represented by the motivic Eilenberg-Maclane spaces on the motivic homotopy category coincide with the motivic cohomology defined in terms of the motivic complexes. There is a description of the equivariant motivic homotopy category for a finite flat group scheme (over a noetherian base) together with a new characterization of A^1-equivalences. There is a part where we introduce a class of sheaves called solid sheaves. Finally there is a part where we study functors of the form X -> X/G and X -> X^W and show that they preserve equivalences between term-wise ind-solid simplicial sheaves.
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PDF链接：
https://arxiv.org/pdf/0805.4436
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